(b) Transform the following double integrals to polar coordinates and hence evaluate them \( \int_{0}^{a} \int_{0}^{\sqrt{a^{2}-

(b) Transform the following double integrals to polar coordinates and hence evaluate them \( \int_{0}^{a} \int_{0}^{\sqrt{a^{2}-y^{2}}}\left(a^{2}-x^{2}-y^{2}\right) d x d y \).

(b) Transform the following double integrals to polar coordinates and hence evaluate them \( \int_{0}^{a} \int_{0}^{\sqrt{a^{2}-y^{2}}}\left(a^{2}-x^{2}-y^{2}\right) d x d y \).

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